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Finding the Fourth Proportional to 48,340.79, 66,710 and 27,120

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Solution

The fourth proportional to 48,340.79, 66,710 and 27,120 is: 37,425.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,340.79 : 66,710 = 27,120 : x
  2. Step 2: Convert to fraction form
    48,340.79/66,710 = 27,120/x
  3. Step 3: Cross multiply
    48,340.79x = 66,710 × 27,120
  4. Step 4: Simplify right side
    48,340.79x = 1,809,175,200
  5. Step 5: Solve for x
    x = 1,809,175,200/48,340.79
  6. Step 6: Final answer
    x = 37,425.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.